Let . Then which of the following is true?
is correct
principle of mathematical induction can be used to prove the formula
As we learnt in
Steps of Mathematical Induction (Verification step) -
Step 1: Verification step
Actual verification of the proposition of the starting value
- wherein
is divisible by 7
Put n=1, It Satisfies.
and
Steps of Mathematical Induction (Induction Step) -
Step 2: Induction Step
Assuming the proposition to be true for n=k, and proving it is true for value
-
and
Steps of Mathematical Induction (Generalization Step) -
Combine Verification step and Induction step
is true and is true for assuming it is true for
-
Which is not true
is not true
S (k) is true
Option 1)
This option is incorrect.
Option 2)
This option is correct.
Option 3)
is correct
This option is incorrect.
Option 4)
principle of mathematical induction can be used to prove the formula
This option is incorrect.
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